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Question: A charged isolated metal sphere of radius *r* carries a fixed charge. A small charge is placed at a ...

A charged isolated metal sphere of radius r carries a fixed charge. A small charge is placed at a distance s from its surface. It experiences a force which is

A

∝r

B

∝ ( r + s)

C

∝1(r+s)2\frac{1}{(r + s)^{2}}

D

∝1s2\frac{1}{s^{2}}

Answer

∝1(r+s)2\frac{1}{(r + s)^{2}}

Explanation

Solution

The charge on a metal sphere may be supposed to be placed at the centre like a point charge. The distance between metal sphere and small charge is (r+s)(r + s)

FF ∝ 1(distan⁡ce)2\frac{1}{\left( dis\tan ce \right)^{2}}∝1(r+s)2\frac{1}{(r + s)^{2}}